Could this simply be a behavioural (as opposed to physical) response to the timing? The routine thing is understandable, but maybe she just doesn't want bath, bottle and bed....she may want a break between the bath and the bottle, and just as with any baby, watching for cues is better than imposing a schedule.
She gets upset because her cues to you are not working, perhaps?
How about trying this: do the bath at the usual time, and don't offer the bottle automatically. Have the bottle there, and ready, and wait for her to cue she wants it. As soon she starts to reject it, accept that. Don't mess about with winding and patting and wondering if she has burped enough. Just put the bottle down and continue cuddling, singing whatever.
It seems to me you are trying to 'make' her take the bottle and she doesn't want it at that time. You are all stressful and dreading the feeding time, and none of that will help :(
Just go with the flow, see what happens, and try to achieve a lack of stress.
If you then find she only takes a tiny amount and then wakes up needing more a few hours later, then so be it - that would be better than the huge upheaval and stress you are having now, with car journeys and repeated bouts of screaming :(
What do you think?